Simplify Square Root of 5632

Here we will show you step-by-step how to simplify the square root of 5632. The square root of 5632 can be written as follows:


	√	5632

The √ symbol is called the radical sign. To simplify the square root of 5632 means to get the simplest radical form of √5632.

Step 1: List Factors
List the factors of 5632 like so:

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 512, 704, 1408, 2816, 5632

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 4, 16, 64, 256

Step 3: Divide
Divide 5632 by the largest perfect square you found in the previous step:

5632 / 256 = 22

Step 4: Calculate
Calculate the square root of the largest perfect square:

√256 = 16

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 5632 in its simplest form:


16	√	22

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Decimal Form
Square Root of 5632 in Decimal form rounded to nearest 5 decimals:

75.04665

Exponent Form
Square Root of 5632 written with Exponent instead of Radical:

5632^½ = 16 x 22^½

Simplify Square Root of 5633
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* List of Perfect Squares